Finding the Third Proportional to 100,564.50 and 209,472

Step by Step Solution

1. Step 1: Write the proportion equation
   100,564.50 : 209,472 = 209,472 : x
2. Step 2: Convert to fraction form
   100,564.50/209,472 = 209,472/x
3. Step 3: Cross multiply
   100,564.50x = 209,472 × 209,472
4. Step 4: Simplify right side
   100,564.50x = 43,878,518,784
5. Step 5: Solve for x
   x = 43,878,518,784/100,564.50
6. Step 6: Final answer
   x = 436,322.15